42968025 has 81 divisors (see below), whose sum is σ = 84909279. Its totient is φ = 20766240.

The previous prime is 42968017. The next prime is 42968047. The reversal of 42968025 is 52086924.

42968025 = 1³ + 2³ + ... + 114³.

It is a happy number.

The square root of 42968025 is 6555.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15468489 + 27499536 = 3933^2 + 5244^2 .

It is not a de Polignac number, because 42968025 - 2³ = 42968017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1868164 + ... + 1868186.

Almost surely, 2^42968025 is an apocalyptic number.

42968025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42968025 is the 6555-th square number.

42968025 is the 3278-th centered octagonal number.

It is an amenable number.

42968025 is a deficient number, since it is larger than the sum of its proper divisors (41941254).

42968025 is a wasteful number, since it uses less digits than its factorization.

42968025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 42968025 is about 350.2529464023.

Multiplying 42968025 by its sum of digits (36), we get a square (1546848900 = 39330²).

It can be divided in two parts, 4296 and 8025, that added together give a palindrome (12321).

The spelling of 42968025 in words is "forty-two million, nine hundred sixty-eight thousand, twenty-five".