353764437961 has 27 divisors (see below), whose sum is σ = 392675553543. Its totient is φ = 318469538640.

The previous prime is 353764437941. The next prime is 353764438057. The reversal of 353764437961 is 169734467353.

The square root of 353764437961 is 594781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83510018361 + 270254419600 = 288981^2 + 519860^2 .

It is not a de Polignac number, because 353764437961 - 2¹⁹ = 353763913673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 353764437896 and 353764437905.

It is not an unprimeable number, because it can be changed into a prime (353764437941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 909419955 + ... + 909420343.

Almost surely, 2^353764437961 is an apocalyptic number.

353764437961 is the 594781-st square number.

353764437961 is the 297391-st centered octagonal number.

It is an amenable number.

353764437961 is a deficient number, since it is larger than the sum of its proper divisors (38911115582).

353764437961 is an frugal number, since it uses more digits than its factorization.

353764437961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 58.

The spelling of 353764437961 in words is "three hundred fifty-three billion, seven hundred sixty-four million, four hundred thirty-seven thousand, nine hundred sixty-one".