813374667 has 36 divisors (see below), whose sum is σ = 1438636680. Its totient is φ = 440318592.

The previous prime is 813374609. The next prime is 813374693. The reversal of 813374667 is 766473318.

It is not a de Polignac number, because 813374667 - 2⁶ = 813374603 is a prime.

It is a super-3 number, since 3×813374667³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (813374467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40158 + ... + 56915.

It is an arithmetic number, because the mean of its divisors is an integer number (39962130).

Almost surely, 2^813374667 is an apocalyptic number.

813374667 is a deficient number, since it is larger than the sum of its proper divisors (625262013).

813374667 is a wasteful number, since it uses less digits than its factorization.

813374667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97112 (or 97102 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 813374667 is about 28519.7241746830. The cubic root of 813374667 is about 933.4625105927.

The spelling of 813374667 in words is "eight hundred thirteen million, three hundred seventy-four thousand, six hundred sixty-seven".