82583977 has 16 divisors (see below), whose sum is σ = 100517760. Its totient is φ = 66233088.

The previous prime is 82583971. The next prime is 82583981. The reversal of 82583977 is 77938528.

It is not a de Polignac number, because 82583977 - 2⁷ = 82583849 is a prime.

It is a super-2 number, since 2×82583977² = 13640226514273058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82583977.

It is not an unprimeable number, because it can be changed into a prime (82583971) 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, 19363 + ... + 23239.

It is an arithmetic number, because the mean of its divisors is an integer number (6282360).

Almost surely, 2^82583977 is an apocalyptic number.

It is an amenable number.

82583977 is a deficient number, since it is larger than the sum of its proper divisors (17933783).

82583977 is a wasteful number, since it uses less digits than its factorization.

82583977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080.

The product of its digits is 846720, while the sum is 49.

The square root of 82583977 is about 9087.5726682101. The cubic root of 82583977 is about 435.4770421695.

The spelling of 82583977 in words is "eighty-two million, five hundred eighty-three thousand, nine hundred seventy-seven".