33419961 has 27 divisors (see below), whose sum is σ = 50554543. Its totient is φ = 21274080.

The previous prime is 33419951. The next prime is 33419963. The reversal of 33419961 is 16991433.

The square root of 33419961 is 5781.

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

It can be written as a sum of positive squares in only one way, i.e., 1610361 + 31809600 = 1269^2 + 5640^2 .

It is not a de Polignac number, because 33419961 - 2⁵ = 33419929 is a prime.

It is a super-2 number, since 2×33419961² = 2233787586483042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33419963) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 711040 + ... + 711086.

Almost surely, 2^33419961 is an apocalyptic number.

33419961 is the 5781-st square number.

33419961 is the 2891-st centered octagonal number.

It is an amenable number.

33419961 is a deficient number, since it is larger than the sum of its proper divisors (17134582).

33419961 is an equidigital number, since it uses as much as digits as its factorization.

33419961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The cubic root of 33419961 is about 322.1083473461.

Multiplying 33419961 by its sum of digits (36), we get a square (1203118596 = 34686²).

The spelling of 33419961 in words is "thirty-three million, four hundred nineteen thousand, nine hundred sixty-one".