149303961 has 9 divisors (see below), whose sum is σ = 215714239. Its totient is φ = 99511536.

The previous prime is 149303933. The next prime is 149303989. The reversal of 149303961 is 169303941.

The square root of 149303961 is 12219.

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

It is an interprime number because it is at equal distance from previous prime (149303933) and next prime (149303989).

It can be written as a sum of positive squares in only one way, i.e., 16040025 + 133263936 = 4005^2 + 11544^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 149303961 - 2¹⁵ = 149271193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149301961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34621 + ... + 38693.

Almost surely, 2^149303961 is an apocalyptic number.

149303961 is the 12219-th square number.

149303961 is the 6110-th centered octagonal number.

It is an amenable number.

149303961 is a deficient number, since it is larger than the sum of its proper divisors (66410278).

149303961 is an frugal number, since it uses more digits than its factorization.

149303961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The cubic root of 149303961 is about 530.5061747855.

Multiplying 149303961 by its sum of digits (36), we get a square (5374942596 = 73314²).

The spelling of 149303961 in words is "one hundred forty-nine million, three hundred three thousand, nine hundred sixty-one".