42829461 has 24 divisors (see below), whose sum is σ = 65107224. Its totient is φ = 27095040.

The previous prime is 42829441. The next prime is 42829469. The reversal of 42829461 is 16492824.

It can be written as a sum of positive squares in 4 ways, for example, as 18326961 + 24502500 = 4281^2 + 4950^2 .

It is not a de Polignac number, because 42829461 - 2¹⁵ = 42796693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42829469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12085 + ... + 15221.

It is an arithmetic number, because the mean of its divisors is an integer number (2712801).

Almost surely, 2^42829461 is an apocalyptic number.

42829461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42829461 is a deficient number, since it is larger than the sum of its proper divisors (22277763).

42829461 is a wasteful number, since it uses less digits than its factorization.

42829461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3218 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42829461 is about 6544.4221288056. The cubic root of 42829461 is about 349.8760404562.

The spelling of 42829461 in words is "forty-two million, eight hundred twenty-nine thousand, four hundred sixty-one".