42001761 has 16 divisors (see below), whose sum is σ = 59480640. Its totient is φ = 26288640.

The previous prime is 42001727. The next prime is 42001763. The reversal of 42001761 is 16710024.

It is not a de Polignac number, because 42001761 - 2¹³ = 41993569 is a prime.

It is a super-2 number, since 2×42001761² = 3528295854202242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42001763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (3717540).

Almost surely, 2^42001761 is an apocalyptic number.

It is an amenable number.

42001761 is a deficient number, since it is larger than the sum of its proper divisors (17478879).

42001761 is a wasteful number, since it uses less digits than its factorization.

42001761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 42001761 is about 6480.8765610834. The cubic root of 42001761 is about 347.6075225818.

Adding to 42001761 its reverse (16710024), we get a palindrome (58711785).

The spelling of 42001761 in words is "forty-two million, one thousand, seven hundred sixty-one".