290972 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 124160.

The previous prime is 290971. The next prime is 290987. The reversal of 290972 is 279092.

It is a happy number.

290972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290971) 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, 554 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁹⁰⁹⁷² is an apocalyptic number.

290972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

290972 is an abundant number, since it is smaller than the sum of its proper divisors (298708).

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

290972 is a wasteful number, since it uses less digits than its factorization.

290972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 290972 is about 539.4182051062. The cubic root of 290972 is about 66.2649284028.

The spelling of 290972 in words is "two hundred ninety thousand, nine hundred seventy-two".