354201057 has 36 divisors (see below), whose sum is σ = 596502036. Its totient is φ = 201942720.

The previous prime is 354201053. The next prime is 354201073. The reversal of 354201057 is 750102453.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 226081296 + 128119761 = 15036^2 + 11319^2 .

It is not a de Polignac number, because 354201057 - 2² = 354201053 is a prime.

It is a super-3 number, since 3×354201057³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354201057.

It is not an unprimeable number, because it can be changed into a prime (354201053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333307 + ... + 334367.

It is an arithmetic number, because the mean of its divisors is an integer number (16569501).

Almost surely, 2^354201057 is an apocalyptic number.

It is an amenable number.

354201057 is a deficient number, since it is larger than the sum of its proper divisors (242300979).

354201057 is a wasteful number, since it uses less digits than its factorization.

354201057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 354201057 is about 18820.2299932812. The cubic root of 354201057 is about 707.5382954045.

The spelling of 354201057 in words is "three hundred fifty-four million, two hundred one thousand, fifty-seven".