879417 has 48 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 447120.

The previous prime is 879413. The next prime is 879449. The reversal of 879417 is 714978.

It is not a de Polignac number, because 879417 - 2² = 879413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (879413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18688 + ... + 18734.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁸⁷⁹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

879417 is a deficient number, since it is larger than the sum of its proper divisors (797895).

879417 is a wasteful number, since it uses less digits than its factorization.

879417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 879417 is about 937.7723604372. The cubic root of 879417 is about 95.8072303619.

It can be divided in two parts, 879 and 417, that added together give a 4-th power (1296 = 6⁴).

The spelling of 879417 in words is "eight hundred seventy-nine thousand, four hundred seventeen".