42823935 has 96 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 16727040.

The previous prime is 42823931. The next prime is 42823939. The reversal of 42823935 is 53932824.

It is a Cunningham number, because it is equal to 6544²-1.

It is an interprime number because it is at equal distance from previous prime (42823931) and next prime (42823939).

It is not a de Polignac number, because 42823935 - 2² = 42823931 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42823935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42823931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58542 + ... + 59268.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 2^42823935 is an apocalyptic number.

42823935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42823935 is an abundant number, since it is smaller than the sum of its proper divisors (55298817).

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

42823935 is a wasteful number, since it uses less digits than its factorization.

42823935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 770 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42823935 is about 6543.9999235941. Note that the first 4 decimals coincide. The cubic root of 42823935 is about 349.8609924175.

Subtracting 42823935 from its reverse (53932824), we obtain a square (11108889 = 3333²).

The spelling of 42823935 in words is "forty-two million, eight hundred twenty-three thousand, nine hundred thirty-five".