162541 has 8 divisors (see below), whose sum is σ = 175104. Its totient is φ = 150480.

The previous prime is 162529. The next prime is 162553. The reversal of 162541 is 145261.

It is an interprime number because it is at equal distance from previous prime (162529) and next prime (162553).

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 162541 - 2⁷ = 162413 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 (162641) 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, 756 + ... + 946.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2¹⁶²⁵⁴¹ is an apocalyptic number.

162541 is the 216-th centered heptagonal number.

It is an amenable number.

162541 is a deficient number, since it is larger than the sum of its proper divisors (12563).

162541 is a wasteful number, since it uses less digits than its factorization.

162541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its digits is 240, while the sum is 19.

The square root of 162541 is about 403.1637384488. The cubic root of 162541 is about 54.5742332141.

It can be divided in two parts, 162 and 541, that added together give a triangular number (703 = T₃₇).

The spelling of 162541 in words is "one hundred sixty-two thousand, five hundred forty-one".