61952641 has 9 divisors (see below), whose sum is σ = 65953731. Its totient is φ = 58182432.

The previous prime is 61952629. The next prime is 61952647. The reversal of 61952641 is 14625916.

The square root of 61952641 is 7871.

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., 48233025 + 13719616 = 6945^2 + 3704^2 .

It is not a de Polignac number, because 61952641 - 2⁵ = 61952609 is a prime.

It is a Duffinian number.

Its product of digits (12960) is a multiple of the sum of its prime divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 61952597 and 61952606.

It is not an unprimeable number, because it can be changed into a prime (61952647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133576 + ... + 134038.

Almost surely, 2^61952641 is an apocalyptic number.

61952641 is the 7871-st square number.

61952641 is the 3936-th centered octagonal number.

It is an amenable number.

61952641 is a deficient number, since it is larger than the sum of its proper divisors (4001090).

61952641 is an frugal number, since it uses more digits than its factorization.

61952641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The cubic root of 61952641 is about 395.6883601427.

It can be divided in two parts, 6195 and 2641, that added together give a square (8836 = 94²).

The spelling of 61952641 in words is "sixty-one million, nine hundred fifty-two thousand, six hundred forty-one".