817964 has 24 divisors (see below), whose sum is σ = 1655808. Its totient is φ = 346320.

The previous prime is 817951. The next prime is 817979. The reversal of 817964 is 469718.

It is a plaindrome in base 15.

It is an unprimeable number.

817964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3557 + ... + 3779.

It is an arithmetic number, because the mean of its divisors is an integer number (68992).

2⁸¹⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

817964 is an abundant number, since it is smaller than the sum of its proper divisors (837844).

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

817964 is a wasteful number, since it uses less digits than its factorization.

817964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 817964 is about 904.4136221884. The cubic root of 817964 is about 93.5214855254.

It can be divided in two parts, 81796 and 4, that multiplied together give a square (327184 = 572²).

The spelling of 817964 in words is "eight hundred seventeen thousand, nine hundred sixty-four".