42129261 has 32 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 26644464.

The previous prime is 42129259. The next prime is 42129287. The reversal of 42129261 is 16292124.

It is not a de Polignac number, because 42129261 - 2¹ = 42129259 is a prime.

It is a super-2 number, since 2×42129261² = 3549749264812242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42109261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110970 + ... + 111348.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 2^42129261 is an apocalyptic number.

It is an amenable number.

42129261 is a deficient number, since it is larger than the sum of its proper divisors (23534739).

42129261 is a wasteful number, since it uses less digits than its factorization.

42129261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42129261 is about 6490.7057397482. The cubic root of 42129261 is about 347.9588982373.

The spelling of 42129261 in words is "forty-two million, one hundred twenty-nine thousand, two hundred sixty-one".