82074951 has 72 divisors (see below), whose sum is σ = 146646864. Its totient is φ = 45722880.

The previous prime is 82074931. The next prime is 82074973. The reversal of 82074951 is 15947028.

It is not a de Polignac number, because 82074951 - 2¹⁴ = 82058567 is a prime.

It is a super-3 number, since 3×82074951³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82074911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 726271 + ... + 726383.

It is an arithmetic number, because the mean of its divisors is an integer number (2036762).

Almost surely, 2^82074951 is an apocalyptic number.

82074951 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82074951 is a deficient number, since it is larger than the sum of its proper divisors (64571913).

82074951 is a wasteful number, since it uses less digits than its factorization.

82074951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82074951 is about 9059.5226695450. The cubic root of 82074951 is about 434.5804754353.

The spelling of 82074951 in words is "eighty-two million, seventy-four thousand, nine hundred fifty-one".