1293952 has 32 divisors (see below), whose sum is σ = 2815200. Its totient is φ = 587520.

The previous prime is 1293949. The next prime is 1293961. The reversal of 1293952 is 2593921.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 949 + ... + 1867.

It is an arithmetic number, because the mean of its divisors is an integer number (87975).

2^1293952 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 1293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407600).

1293952 is an abundant number, since it is smaller than the sum of its proper divisors (1521248).

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

1293952 is an equidigital number, since it uses as much as digits as its factorization.

1293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its digits is 4860, while the sum is 31.

The square root of 1293952 is about 1137.5201097124. The cubic root of 1293952 is about 108.9697753080.

Subtracting from 1293952 its sum of digits (31), we obtain a palindrome (1293921).

The spelling of 1293952 in words is "one million, two hundred ninety-three thousand, nine hundred fifty-two".