967152 has 20 divisors (see below), whose sum is σ = 2498600. Its totient is φ = 322368.

The previous prime is 967139. The next prime is 967171. The reversal of 967152 is 251769.

967152 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 2×967152² = 1870765982208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

967152 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 3 ways as a sum of consecutive naturals, for example, 10027 + ... + 10122.

It is an arithmetic number, because the mean of its divisors is an integer number (124930).

2⁹⁶⁷¹⁵² is an apocalyptic number.

It is an amenable number.

967152 is an abundant number, since it is smaller than the sum of its proper divisors (1531448).

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

967152 is a wasteful number, since it uses less digits than its factorization.

967152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20160 (or 20154 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 967152 is about 983.4388643937. The cubic root of 967152 is about 98.8928541851.

It can be divided in two parts, 9 and 67152, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 967152 in words is "nine hundred sixty-seven thousand, one hundred fifty-two".