1535952 has 40 divisors (see below), whose sum is σ = 4330080. Its totient is φ = 465280.

The previous prime is 1535939. The next prime is 1535959. The reversal of 1535952 is 2595351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (108252).

2^1535952 is an apocalyptic number.

1535952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1535952 is an abundant number, since it is smaller than the sum of its proper divisors (2794128).

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

1535952 is a wasteful number, since it uses less digits than its factorization.

1535952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its digits is 6750, while the sum is 30.

The square root of 1535952 is about 1239.3353057184. The cubic root of 1535952 is about 115.3787637374.

It can be divided in two parts, 153 and 5952, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 1535952 in words is "one million, five hundred thirty-five thousand, nine hundred fifty-two".