826152 has 32 divisors (see below), whose sum is σ = 2138400. Its totient is φ = 265664.

The previous prime is 826151. The next prime is 826153. The reversal of 826152 is 251628.

It is an interprime number because it is at equal distance from previous prime (826151) and next prime (826153).

It is a super-3 number, since 3×826152³ = 1691613453333671424, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (826151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (66825).

2⁸²⁶¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069200).

826152 is an abundant number, since it is smaller than the sum of its proper divisors (1312248).

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

826152 is a wasteful number, since it uses less digits than its factorization.

826152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 826152 is about 908.9290401346. The cubic root of 826152 is about 93.8325069221.

The spelling of 826152 in words is "eight hundred twenty-six thousand, one hundred fifty-two".