15752961 has 45 divisors (see below), whose sum is σ = 27564641. Its totient is φ = 9001692.

The previous prime is 15752951. The next prime is 15752963. The reversal of 15752961 is 16925751.

The square root of 15752961 is 3969.

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

15752961 is a `hidden beast` number, since 1 + 575 + 29 + 61 = 666.

It is not a de Polignac number, because 15752961 - 2⁹ = 15752449 is a prime.

It is a Duffinian number.

Its product of digits (18900) is a multiple of the sum of its prime divisors (10).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15752963) 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 44 ways as a sum of consecutive naturals, for example, 2250420 + ... + 2250426.

Almost surely, 2^15752961 is an apocalyptic number.

15752961 is the 3969-th square number.

15752961 is the 1985-th centered octagonal number.

It is an amenable number.

15752961 is a deficient number, since it is larger than the sum of its proper divisors (11811680).

15752961 is an frugal number, since it uses more digits than its factorization.

15752961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The cubic root of 15752961 is about 250.6806040975.

Multiplying 15752961 by its sum of digits (36), we get a square (567106596 = 23814²).

The spelling of 15752961 in words is "fifteen million, seven hundred fifty-two thousand, nine hundred sixty-one".