82537961 has 32 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 68428800.

The previous prime is 82537951. The next prime is 82537963. The reversal of 82537961 is 16973528.

It is not a de Polignac number, because 82537961 - 2¹⁴ = 82521577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (82537963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757175 + ... + 757283.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 2^82537961 is an apocalyptic number.

It is an amenable number.

82537961 is a deficient number, since it is larger than the sum of its proper divisors (15923479).

82537961 is a wasteful number, since it uses less digits than its factorization.

82537961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its digits is 90720, while the sum is 41.

The square root of 82537961 is about 9085.0405062388. The cubic root of 82537961 is about 435.3961441739.

The spelling of 82537961 in words is "eighty-two million, five hundred thirty-seven thousand, nine hundred sixty-one".