1271952 has 90 divisors (see below), whose sum is σ = 3966326. Its totient is φ = 380160.

The previous prime is 1271939. The next prime is 1271953. The reversal of 1271952 is 2591721.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 156816 = 1056^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (1271953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17388 + ... + 17460.

2^1271952 is an apocalyptic number.

1271952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1271952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983163).

1271952 is an abundant number, since it is smaller than the sum of its proper divisors (2694374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1271952 is a wasteful number, since it uses less digits than its factorization.

1271952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1271952 is about 1127.8084943819. The cubic root of 1271952 is about 108.3486673889.

It can be divided in two parts, 1 and 271952, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 1271952 in words is "one million, two hundred seventy-one thousand, nine hundred fifty-two".