42101957 has 8 divisors (see below), whose sum is σ = 43265880. Its totient is φ = 40944640.

The previous prime is 42101923. The next prime is 42101963. The reversal of 42101957 is 75910124.

It can be written as a sum of positive squares in 4 ways, for example, as 2989441 + 39112516 = 1729^2 + 6254^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42101957 - 2¹⁸ = 41839813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42101357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13019 + ... + 15927.

It is an arithmetic number, because the mean of its divisors is an integer number (5408235).

Almost surely, 2^42101957 is an apocalyptic number.

It is an amenable number.

42101957 is a deficient number, since it is larger than the sum of its proper divisors (1163923).

42101957 is a wasteful number, since it uses less digits than its factorization.

42101957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 42101957 is about 6488.6020836541. The cubic root of 42101957 is about 347.8837111999.

The spelling of 42101957 in words is "forty-two million, one hundred one thousand, nine hundred fifty-seven".