1925952 has 56 divisors (see below), whose sum is σ = 5827776. Its totient is φ = 549888.

The previous prime is 1925933. The next prime is 1925971. The reversal of 1925952 is 2595291.

It is an interprime number because it is at equal distance from previous prime (1925933) and next prime (1925971).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1925952² = 7418582212608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 2060.

2^1925952 is an apocalyptic number.

1925952 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 1925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913888).

1925952 is an abundant number, since it is smaller than the sum of its proper divisors (3901824).

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

1925952 is a wasteful number, since it uses less digits than its factorization.

1925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1445 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The square root of 1925952 is about 1387.7867271306. The cubic root of 1925952 is about 124.4176000298.

The spelling of 1925952 in words is "one million, nine hundred twenty-five thousand, nine hundred fifty-two".