1597152 has 48 divisors (see below), whose sum is σ = 4257792. Its totient is φ = 524160.

The previous prime is 1597147. The next prime is 1597153. The reversal of 1597152 is 2517951.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1597152² = 5101789022208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1597153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12127 + ... + 12257.

It is an arithmetic number, because the mean of its divisors is an integer number (88704).

2^1597152 is an apocalyptic number.

1597152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1597152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128896).

1597152 is an abundant number, since it is smaller than the sum of its proper divisors (2660640).

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

1597152 is a wasteful number, since it uses less digits than its factorization.

1597152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 3150, while the sum is 30.

The square root of 1597152 is about 1263.7847918059. The cubic root of 1597152 is about 116.8912716247.

The spelling of 1597152 in words is "one million, five hundred ninety-seven thousand, one hundred fifty-two".