542164 has 36 divisors (see below), whose sum is σ = 1169056. Its totient is φ = 215424.

The previous prime is 542153. The next prime is 542167. The reversal of 542164 is 461245.

542164 = T₆₉ + T₇₀ + ... + T₁₅₂.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8059 + ... + 8125.

2⁵⁴²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584528).

542164 is an abundant number, since it is smaller than the sum of its proper divisors (626892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542164 is a wasteful number, since it uses less digits than its factorization.

542164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 542164 is about 736.3178661421. The cubic root of 542164 is about 81.5411612875.

It can be divided in two parts, 542 and 164, that multiplied together give a palindrome (88888).

The spelling of 542164 in words is "five hundred forty-two thousand, one hundred sixty-four".