945972 has 48 divisors (see below), whose sum is σ = 2587200. Its totient is φ = 298080.

The previous prime is 945961. The next prime is 945983. The reversal of 945972 is 279549.

It is an interprime number because it is at equal distance from previous prime (945961) and next prime (945983).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

945972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (53900).

2⁹⁴⁵⁹⁷² 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 945972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293600).

945972 is an abundant number, since it is smaller than the sum of its proper divisors (1641228).

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

945972 is a wasteful number, since it uses less digits than its factorization.

945972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 945972 is about 972.6109191244. The cubic root of 945972 is about 98.1656230302.

The spelling of 945972 in words is "nine hundred forty-five thousand, nine hundred seventy-two".