42121764 has 18 divisors (see below), whose sum is σ = 106474550. Its totient is φ = 14040576.

The previous prime is 42121741. The next prime is 42121787. The reversal of 42121764 is 46712124.

It is an interprime number because it is at equal distance from previous prime (42121741) and next prime (42121787).

It can be written as a sum of positive squares in only one way, i.e., 26440164 + 15681600 = 5142^2 + 3960^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 584989 + ... + 585060.

Almost surely, 2^42121764 is an apocalyptic number.

It is an amenable number.

42121764 is an abundant number, since it is smaller than the sum of its proper divisors (64352786).

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

42121764 is a wasteful number, since it uses less digits than its factorization.

42121764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170059 (or 1170054 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42121764 is about 6490.1281959604. The cubic root of 42121764 is about 347.9382569810.

Adding to 42121764 its reverse (46712124), we get a palindrome (88833888).

The spelling of 42121764 in words is "forty-two million, one hundred twenty-one thousand, seven hundred sixty-four".