82752561 has 12 divisors (see below), whose sum is σ = 119829060. Its totient is φ = 55031040.

The previous prime is 82752541. The next prime is 82752563. The reversal of 82752561 is 16525728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37271025 + 45481536 = 6105^2 + 6744^2 .

It is not a de Polignac number, because 82752561 - 2⁵ = 82752529 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82752563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7560 + ... + 14921.

It is an arithmetic number, because the mean of its divisors is an integer number (9985755).

Almost surely, 2^82752561 is an apocalyptic number.

It is an amenable number.

82752561 is a deficient number, since it is larger than the sum of its proper divisors (37076499).

82752561 is a wasteful number, since it uses less digits than its factorization.

82752561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22896 (or 22893 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 82752561 is about 9096.8434635317. The cubic root of 82752561 is about 435.7731632239.

The spelling of 82752561 in words is "eighty-two million, seven hundred fifty-two thousand, five hundred sixty-one".