1533952 has 48 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 651264.

The previous prime is 1533947. The next prime is 1533953. The reversal of 1533952 is 2593351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1533952.

It is not an unprimeable number, because it can be changed into a prime (1533953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14283 + ... + 14389.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^1533952 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 1533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1533952 is an abundant number, since it is smaller than the sum of its proper divisors (2004128).

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

1533952 is an equidigital number, since it uses as much as digits as its factorization.

1533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 4050, while the sum is 28.

The square root of 1533952 is about 1238.5281587433. The cubic root of 1533952 is about 115.3286628319.

It can be divided in two parts, 1533 and 952, that added together give a triangular number (2485 = T₇₀).

The spelling of 1533952 in words is "one million, five hundred thirty-three thousand, nine hundred fifty-two".