234972 has 36 divisors (see below), whose sum is σ = 609336. Its totient is φ = 76320.

The previous prime is 234967. The next prime is 234977. The reversal of 234972 is 279432.

It is an interprime number because it is at equal distance from previous prime (234967) and next prime (234977).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234977) by changing a digit.

234972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2²³⁴⁹⁷² 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 234972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

234972 is an abundant number, since it is smaller than the sum of its proper divisors (374364).

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

234972 is a wasteful number, since it uses less digits than its factorization.

234972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 234972 is about 484.7391050864. The cubic root of 234972 is about 61.7076069345.

The spelling of 234972 in words is "two hundred thirty-four thousand, nine hundred seventy-two".