2617164 has 48 divisors (see below), whose sum is σ = 7405440. Its totient is φ = 792720.

The previous prime is 2617141. The next prime is 2617169. The reversal of 2617164 is 4617162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2617169) 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, 87 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (154280).

2^2617164 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 2617164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702720).

2617164 is an abundant number, since it is smaller than the sum of its proper divisors (4788276).

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

2617164 is a wasteful number, since it uses less digits than its factorization.

2617164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2219 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2617164 is about 1617.7651251031. The cubic root of 2617164 is about 137.8088089622.

The spelling of 2617164 in words is "two million, six hundred seventeen thousand, one hundred sixty-four".