82721953 has 16 divisors (see below), whose sum is σ = 89496000. Its totient is φ = 76220352.

The previous prime is 82721941. The next prime is 82721959. The reversal of 82721953 is 35912728.

82721953 is a nontrivial binomial coefficient, being equal to C(12863, 2).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82721953 is a prime.

It is a Duffinian number.

Its product of digits (30240) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (82721959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121851 + ... + 122527.

It is an arithmetic number, because the mean of its divisors is an integer number (5593500).

Almost surely, 2^82721953 is an apocalyptic number.

82721953 is the 12862-nd triangular number.

82721953 is the 4288-th centered nonagonal number.

It is an amenable number.

82721953 is a deficient number, since it is larger than the sum of its proper divisors (6774047).

82721953 is a wasteful number, since it uses less digits than its factorization.

82721953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864.

The product of its digits is 30240, while the sum is 37.

The square root of 82721953 is about 9095.1609661402. The cubic root of 82721953 is about 435.7194295806.

The spelling of 82721953 in words is "eighty-two million, seven hundred twenty-one thousand, nine hundred fifty-three".