251970 has 32 divisors (see below), whose sum is σ = 623808. Its totient is φ = 65088.

The previous prime is 251969. The next prime is 251971. The reversal of 251970 is 79152.

251970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251969) and next prime (251971).

It is a self number, because there is not a number n which added to its sum of digits gives 251970.

It is not an unprimeable number, because it can be changed into a prime (251971) 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, 997 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (19494).

2²⁵¹⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311904).

251970 is an abundant number, since it is smaller than the sum of its proper divisors (371838).

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

251970 is a wasteful number, since it uses less digits than its factorization.

251970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 251970 is about 501.9661343159. The cubic root of 251970 is about 63.1610893852.

It can be divided in two parts, 251 and 970, that added together give a palindrome (1221).

The spelling of 251970 in words is "two hundred fifty-one thousand, nine hundred seventy".