1201761 has 24 divisors (see below), whose sum is σ = 1934400. Its totient is φ = 712800.

The previous prime is 1201729. The next prime is 1201787. The reversal of 1201761 is 1671021.

It is not a de Polignac number, because 1201761 - 2⁵ = 1201729 is a prime.

It is a super-2 number, since 2×1201761² = 2888459002242, which contains 22 as substring.

1201761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5940 + ... + 6138.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

2^1201761 is an apocalyptic number.

1201761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201761 is a deficient number, since it is larger than the sum of its proper divisors (732639).

1201761 is a wasteful number, since it uses less digits than its factorization.

1201761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1201761 is about 1096.2486031918. The cubic root of 1201761 is about 106.3178132263.

Adding to 1201761 its reverse (1671021), we get a palindrome (2872782).

It can be divided in two parts, 120 and 1761, that added together give a palindrome (1881).

The spelling of 1201761 in words is "one million, two hundred one thousand, seven hundred sixty-one".