1082952 has 72 divisors (see below), whose sum is σ = 3211650. Its totient is φ = 329472.

The previous prime is 1082911. The next prime is 1082969. The reversal of 1082952 is 2592801.

It can be written as a sum of positive squares in 3 ways, for example, as 367236 + 715716 = 606^2 + 846^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12124 + ... + 12212.

2^1082952 is an apocalyptic number.

1082952 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 1082952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605825).

1082952 is an abundant number, since it is smaller than the sum of its proper divisors (2128698).

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

1082952 is a wasteful number, since it uses less digits than its factorization.

1082952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1082952 is about 1040.6497970019. The cubic root of 1082952 is about 102.6919504453.

The spelling of 1082952 in words is "one million, eighty-two thousand, nine hundred fifty-two".