813954 has 16 divisors (see below), whose sum is σ = 1636992. Its totient is φ = 269808.

The previous prime is 813931. The next prime is 813961. The reversal of 813954 is 459318.

It is a super-2 number, since 2×813954² = 1325042228232, which contains 22 as substring.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813954.

It is an unprimeable number.

813954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1527 + ... + 1989.

It is an arithmetic number, because the mean of its divisors is an integer number (102312).

2⁸¹³⁹⁵⁴ is an apocalyptic number.

813954 is an abundant number, since it is smaller than the sum of its proper divisors (823038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813954 is a wasteful number, since it uses less digits than its factorization.

813954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its digits is 4320, while the sum is 30.

The square root of 813954 is about 902.1939924429. The cubic root of 813954 is about 93.3684080191.

The spelling of 813954 in words is "eight hundred thirteen thousand, nine hundred fifty-four".