540834993 has 6 divisors (see below), whose sum is σ = 781206114. Its totient is φ = 360556656.

The previous prime is 540834979. The next prime is 540834997. The reversal of 540834993 is 399438045.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 528218289 + 12616704 = 22983^2 + 3552^2 .

It is not a de Polignac number, because 540834993 - 2¹⁴ = 540818609 is a prime.

It is a super-3 number, since 3×540834993³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540834997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30046380 + ... + 30046397.

It is an arithmetic number, because the mean of its divisors is an integer number (130201019).

Almost surely, 2^540834993 is an apocalyptic number.

It is an amenable number.

540834993 is a deficient number, since it is larger than the sum of its proper divisors (240371121).

540834993 is a wasteful number, since it uses less digits than its factorization.

540834993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60092783 (or 60092780 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 540834993 is about 23255.8593261999. The cubic root of 540834993 is about 814.7447946978.

It can be divided in two parts, 5408 and 34993, that added together give a square (40401 = 201²).

The spelling of 540834993 in words is "five hundred forty million, eight hundred thirty-four thousand, nine hundred ninety-three".