852633 has 16 divisors (see below), whose sum is σ = 1319040. Its totient is φ = 543312.

The previous prime is 852623. The next prime is 852641. The reversal of 852633 is 336258.

It is not a de Polignac number, because 852633 - 2⁴ = 852617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 852597 and 852606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (82440).

2⁸⁵²⁶³³ is an apocalyptic number.

It is an amenable number.

852633 is a deficient number, since it is larger than the sum of its proper divisors (466407).

852633 is a wasteful number, since it uses less digits than its factorization.

852633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 852633 is about 923.3812863601. The cubic root of 852633 is about 94.8245329873.

It can be divided in two parts, 852 and 633, that added together give a triangular number (1485 = T₅₄).

The spelling of 852633 in words is "eight hundred fifty-two thousand, six hundred thirty-three".