1352952 has 96 divisors (see below), whose sum is σ = 4118400. Its totient is φ = 399168.

The previous prime is 1352921. The next prime is 1352957. The reversal of 1352952 is 2592531.

It is a super-2 number, since 2×1352952² = 3660958228608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2700) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31443 + ... + 31485.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2^1352952 is an apocalyptic number.

1352952 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 1352952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059200).

1352952 is an abundant number, since it is smaller than the sum of its proper divisors (2765448).

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

1352952 is a wasteful number, since it uses less digits than its factorization.

1352952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1352952 is about 1163.1646487063. The cubic root of 1352952 is about 110.6014438018.

It can be divided in two parts, 1352 and 952, that added together give a square (2304 = 48²).

The spelling of 1352952 in words is "one million, three hundred fifty-two thousand, nine hundred fifty-two".