882954 has 32 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 289296.

The previous prime is 882953. The next prime is 882961. The reversal of 882954 is 459288.

882954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×882954² = 1559215532232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882953) 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, 4384 + ... + 4580.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

2⁸⁸²⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

882954 is an abundant number, since it is smaller than the sum of its proper divisors (1112886).

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

882954 is a wasteful number, since it uses less digits than its factorization.

882954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 882954 is about 939.6563201511. The cubic root of 882954 is about 95.9355035535.

It can be divided in two parts, 88 and 2954, that multiplied together give a palindrome (259952).

The spelling of 882954 in words is "eight hundred eighty-two thousand, nine hundred fifty-four".