73783400161 has 9 divisors (see below), whose sum is σ = 75551157651. Its totient is φ = 72056098632.

The previous prime is 73783400147. The next prime is 73783400219. The reversal of 73783400161 is 16100438737.

The square root of 73783400161 is 271631.

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., 39722483025 + 34060917136 = 199305^2 + 184556^2 .

It is not a de Polignac number, because 73783400161 - 2¹⁵ = 73783367393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73783400101) 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 8 ways as a sum of consecutive naturals, for example, 11676975 + ... + 11683291.

Almost surely, 2^73783400161 is an apocalyptic number.

73783400161 is the 271631-st square number.

73783400161 is the 135816-th centered octagonal number.

It is an amenable number.

73783400161 is a deficient number, since it is larger than the sum of its proper divisors (1767757490).

73783400161 is an frugal number, since it uses more digits than its factorization.

73783400161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12720 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

Adding to 73783400161 its reverse (16100438737), we get a palindrome (89883838898).

The spelling of 73783400161 in words is "seventy-three billion, seven hundred eighty-three million, four hundred thousand, one hundred sixty-one".