2017152 has 96 divisors (see below), whose sum is σ = 6205680. Its totient is φ = 626688.

The previous prime is 2017133. The next prime is 2017177. The reversal of 2017152 is 2517102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2017152² = 8137804382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19533 + ... + 19635.

2^2017152 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 2017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102840).

2017152 is an abundant number, since it is smaller than the sum of its proper divisors (4188528).

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

2017152 is a wasteful number, since it uses less digits than its factorization.

2017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2017152 is about 1420.2647640493. The cubic root of 2017152 is about 126.3512496936.

The spelling of 2017152 in words is "two million, seventeen thousand, one hundred fifty-two".