742836825 has 120 divisors (see below), whose sum is σ = 1485396000. Its totient is φ = 365783040.

The previous prime is 742836797. The next prime is 742836847. The reversal of 742836825 is 528638247.

It is not a de Polignac number, because 742836825 - 2⁵ = 742836793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1654201 + ... + 1654649.

It is an arithmetic number, because the mean of its divisors is an integer number (12378300).

Almost surely, 2^742836825 is an apocalyptic number.

742836825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

742836825 is a deficient number, since it is larger than the sum of its proper divisors (742559175).

742836825 is a wasteful number, since it uses less digits than its factorization.

742836825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 742836825 is about 27255.0330214439. The cubic root of 742836825 is about 905.6585156636.

It can be divided in two parts, 7428 and 36825, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 742836825 in words is "seven hundred forty-two million, eight hundred thirty-six thousand, eight hundred twenty-five".