872355 has 32 divisors (see below), whose sum is σ = 1617408. Its totient is φ = 396800.

The previous prime is 872353. The next prime is 872369. The reversal of 872355 is 553278.

It is a happy number.

It is a Cunningham number, because it is equal to 934²-1.

It is not a de Polignac number, because 872355 - 2¹ = 872353 is a prime.

It is a super-2 number, since 2×872355² = 1522006492050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (50544).

2⁸⁷²³⁵⁵ is an apocalyptic number.

872355 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

872355 is a deficient number, since it is larger than the sum of its proper divisors (745053).

872355 is a wasteful number, since it uses less digits than its factorization.

872355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347.

The product of its digits is 8400, while the sum is 30.

The square root of 872355 is about 933.9994646679. Note that the first 3 decimals coincide. The cubic root of 872355 is about 95.5500865708.

Subtracting from 872355 its product of digits (8400), we obtain a triangular number (863955 = T₁₃₁₄).

It can be divided in two parts, 8723 and 55, that added together give a palindrome (8778).

The spelling of 872355 in words is "eight hundred seventy-two thousand, three hundred fifty-five".