82953657 has 6 divisors (see below), whose sum is σ = 119821962. Its totient is φ = 55302432.

The previous prime is 82953653. The next prime is 82953683. The reversal of 82953657 is 75635928.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75533481 + 7420176 = 8691^2 + 2724^2 .

It is not a de Polignac number, because 82953657 - 2² = 82953653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82953653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4608528 + ... + 4608545.

It is an arithmetic number, because the mean of its divisors is an integer number (19970327).

Almost surely, 2^82953657 is an apocalyptic number.

It is an amenable number.

82953657 is a deficient number, since it is larger than the sum of its proper divisors (36868305).

82953657 is a wasteful number, since it uses less digits than its factorization.

82953657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217079 (or 9217076 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 82953657 is about 9107.8898214680. The cubic root of 82953657 is about 436.1258667131.

It can be divided in two parts, 8 and 2953657, that added together give a triangular number (2953665 = T₂₄₃₀).

The spelling of 82953657 in words is "eighty-two million, nine hundred fifty-three thousand, six hundred fifty-seven".