967164 has 48 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 275200.

The previous prime is 967139. The next prime is 967171. The reversal of 967164 is 461769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

967164 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, 2029 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2⁹⁶⁷¹⁶⁴ 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 967164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

967164 is an abundant number, since it is smaller than the sum of its proper divisors (1645572).

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

967164 is a wasteful number, since it uses less digits than its factorization.

967164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 967164 is about 983.4449654149. Note that the first 3 decimals coincide. The cubic root of 967164 is about 98.8932631898.

It can be divided in two parts, 96 and 7164, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 967164 in words is "nine hundred sixty-seven thousand, one hundred sixty-four".