1355952 has 80 divisors (see below), whose sum is σ = 3937248. Its totient is φ = 399360.

The previous prime is 1355947. The next prime is 1355957. The reversal of 1355952 is 2595531.

It is an interprime number because it is at equal distance from previous prime (1355947) and next prime (1355957).

It is not an unprimeable number, because it can be changed into a prime (1355957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25558 + ... + 25610.

2^1355952 is an apocalyptic number.

1355952 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 1355952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968624).

1355952 is an abundant number, since it is smaller than the sum of its proper divisors (2581296).

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

1355952 is a wasteful number, since it uses less digits than its factorization.

1355952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

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

The square root of 1355952 is about 1164.4535198968. The cubic root of 1355952 is about 110.6831316932.

The spelling of 1355952 in words is "one million, three hundred fifty-five thousand, nine hundred fifty-two".