33044331961 has 21 divisors (see below), whose sum is σ = 36084156969. Its totient is φ = 30259992384.

The previous prime is 33044331953. The next prime is 33044331977. The reversal of 33044331961 is 16913344033.

The square root of 33044331961 is 181781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1708251561 + 31336080400 = 41331^2 + 177020^2 .

It is not a de Polignac number, because 33044331961 - 2³ = 33044331953 is a prime.

It is a super-2 number, since 2×33044331961² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33044331961.

It is not an unprimeable number, because it can be changed into a prime (33044331941) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 893090035 + ... + 893090071.

It is an arithmetic number, because the mean of its divisors is an integer number (1718293189).

Almost surely, 2^33044331961 is an apocalyptic number.

33044331961 is the 181781-st square number.

33044331961 is the 90891-st centered octagonal number.

It is an amenable number.

33044331961 is a deficient number, since it is larger than the sum of its proper divisors (3039825008).

33044331961 is an frugal number, since it uses more digits than its factorization.

33044331961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

Multiplying 33044331961 by its sum of digits (37), we get a cube (1222640282557 = 10693³).

Adding to 33044331961 its reverse (16913344033), we get a palindrome (49957675994).

It can be divided in two parts, 330443 and 31961, that added together give a square (362404 = 602²).

The spelling of 33044331961 in words is "thirty-three billion, forty-four million, three hundred thirty-one thousand, nine hundred sixty-one".