59641 has 8 divisors (see below), whose sum is σ = 65120. Its totient is φ = 54432.

The previous prime is 59629. The next prime is 59651. The reversal of 59641 is 14695.

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

It is a 5-Lehmer number, since φ(59641) divides (59641-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 59641 - 2⁷ = 59513 is a prime.

It is a Duffinian number.

Its product of digits (1080) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (59611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (8140).

2⁵⁹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

59641 is a deficient number, since it is larger than the sum of its proper divisors (5479).

59641 is a wasteful number, since it uses less digits than its factorization.

59641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its digits is 1080, while the sum is 25.

The square root of 59641 is about 244.2150691501. The cubic root of 59641 is about 39.0704403059.

It can be divided in two parts, 5 and 9641, that multiplied together give a triangular number (48205 = T₃₁₀).

The spelling of 59641 in words is "fifty-nine thousand, six hundred forty-one".