82277037 has 24 divisors (see below), whose sum is σ = 122319288. Its totient is φ = 53260800.

The previous prime is 82276993. The next prime is 82277053. The reversal of 82277037 is 73077228.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 82246761 = 174^2 + 9069^2 .

It is not a de Polignac number, because 82277037 - 2¹¹ = 82274989 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 82276992 and 82277010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82277137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107737 + ... + 108497.

It is an arithmetic number, because the mean of its divisors is an integer number (5096637).

Almost surely, 2^82277037 is an apocalyptic number.

It is an amenable number.

82277037 is a deficient number, since it is larger than the sum of its proper divisors (40042251).

82277037 is a wasteful number, since it uses less digits than its factorization.

82277037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 82277037 is about 9070.6690491937. The cubic root of 82277037 is about 434.9368596426.

The spelling of 82277037 in words is "eighty-two million, two hundred seventy-seven thousand, thirty-seven".