42205312 has 16 divisors (see below), whose sum is σ = 84081150. Its totient is φ = 21102592.

The previous prime is 42205309. The next prime is 42205337. The reversal of 42205312 is 21350224.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 11999296 = 5496^2 + 3464^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×42205312² = 3562576722034688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42205312.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164737 + ... + 164992.

Almost surely, 2^42205312 is an apocalyptic number.

It is an amenable number.

42205312 is a deficient number, since it is larger than the sum of its proper divisors (41875838).

42205312 is an equidigital number, since it uses as much as digits as its factorization.

42205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329743 (or 329731 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42205312 is about 6496.5615520828. The cubic root of 42205312 is about 348.1681488009.

Adding to 42205312 its reverse (21350224), we get a palindrome (63555536).

The spelling of 42205312 in words is "forty-two million, two hundred five thousand, three hundred twelve".