82401683 has 24 divisors (see below), whose sum is σ = 103822992. Its totient is φ = 64822464.

The previous prime is 82401643. The next prime is 82401707. The reversal of 82401683 is 38610428.

It is not a de Polignac number, because 82401683 - 2⁸ = 82401427 is a prime.

It is a super-2 number, since 2×82401683² = 13580074722464978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82401643) 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, 176216 + ... + 176682.

It is an arithmetic number, because the mean of its divisors is an integer number (4325958).

Almost surely, 2^82401683 is an apocalyptic number.

82401683 is a deficient number, since it is larger than the sum of its proper divisors (21421309).

82401683 is a wasteful number, since it uses less digits than its factorization.

82401683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 82401683 is about 9077.5372761559. The cubic root of 82401683 is about 435.1563853976.

The spelling of 82401683 in words is "eighty-two million, four hundred one thousand, six hundred eighty-three".